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4 years ago

The length of each side of the triangle

Mathematics

1 answer:

fgiga [73]4 years ago

5 0

Remark

All three sides are equal in an equilateral triangle.

y + 5 = x + y - 5 . . . . . . .(1)

y +5 = 2x - 7 . . . . . . . . .(2)

For 1

Subtract y from both sides.

5 = x - 5 . . . . . . . . . . . Add 5 to both sides.

x = 10

x + y - 10 = 2x - 7 . . . .Put x = 10 into this equation

10 + y - 10 = 2*10 - 7

y = 20 - 7

y = 13

In 2x - 7, let x = 10

2(10) - 7 = 20 - 7

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On a trip over Thanksgiving Break Jenn's family has to drive a total of 325 miles.. If there are 126 miles to go and the car has

kherson [118]

The speed is 66.33 miles per hour

Step-by-step explanation:

Given

Total distance = 325 miles

They still have 126 miles to go. In order to find the distance they have covered, we will subtract the remaining miles from the total

So,

$Distance\ covered=325-126=199\ miles$

the car has been driving for 3 hours

So,

t= 3 hours

d = 199 miles

$Speed=\frac{d}{t}\\=\frac{199}{3}\\=66.33\ miles\ per\ hour$

The speed is 66.33 miles per hour

Keywords: Speed, Distance

Learn more about speed at:

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4 0

3 years ago

Fiona needs to choose a five-character password with a combination of three letters and the even numbers 0, 2, 4, 6, or 8.

evablogger [386]

The total outcomes of creating a password is 20

<h3>How to determine the total outcomes creating different passwords with the given characters and numbers?</h3>

The given parameters are

Letters = 3

Digits = 5 digits i.e 0, 2, 4, 6, or 8.

From the question, the digits and the letters cannot be repeated.

So, we have:

Possible letters = 3 characters (position fixed)

Digits = 2 numbers

So, the total outcomes of creating different passwords is

Total = 1 * 1 * 1 * 5 * 4

Evaluate the product

Total = 20

Hence, the total outcomes of creating a password is 20

Read more about combination at:

brainly.com/question/11732255

#SPJ1

7 0

2 years ago

Find the area of the triangle having the given measurements.

frutty [35]

Answer:

area of a triangle is 1/2bc sin Thither

1/2 18×44sin 42

396sin42

264.98

5 0

3 years ago

Melissa buys 2 1/2 pounds of salmon an 1 1/4 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per

garik1379 [7]

Answer:

$16.60

Step-by-step explanation:

Setup the formula to calculate the cost of each pound of salmon and swordfish for the 2.5 pounds of salmon (x) and 1.25 pounds of swordfish (y) which is equal to $31.25

2.5x + 1.25y = 31.25

Setup a formula to figure out how much a single pound of swordfish (y) is. The problem states it cost $0.20 less than a pound of salmon (x).

y = x - .20

Plug the y = x - .20 into the first equation.

2.5x + 1.25(x - .20) = 31.25

Distribute the 1.25 by multiplying it with x and -.20

2.5x + 1.25x - .25 = 31.25

Combine like terms, x on the left side

3.75x - .25 = 31.25

Add .25 to both sides to get x on one side

3.75x = 31.50

Divide both sides by 3.75 to get x by itself

x = 8.4

So, each pound of salmon, x, cost $8.40 per pound

Use y = x - .20 and plug in x = 8.4 to figure out how much a pound of swordfish cost.

y = 8.4 - .20

So, a pound of swordfish cost $8.20 per pound

The question wants to know the combined cost, z, of 1 pound of salmon, x, and 1 pound of swordfish, y.

x + y = z

8.4 + 8.2 = 16.6

The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60

8 0

1 year ago

What is the distance<br> between the points (4,20)<br> and (6,9)?

Cerrena [4.2K]

Answer:

68.88m

Step-by-step explanation:

√(x²-x²)²+(y²-20)²

6 0

3 years ago